6294742619040 has 240 divisors, whose sum is σ = 22218973190568. Its totient is φ = 1678312617984.

The previous prime is 6294742619017. The next prime is 6294742619051. The reversal of 6294742619040 is 409162474926.

6294742619040 is a `hidden beast` number, since 6 + 2 + 94 + 7 + 426 + 1 + 90 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6012284384016 + 282458235024 = 2451996^2 + 531468^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82555974 + ... + 82632186.

Almost surely, 2^{6294742619040} is an apocalyptic number.

6294742619040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6294742619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11109486595284).

6294742619040 is an abundant number, since it is smaller than the sum of its proper divisors (15924230571528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6294742619040 is a wasteful number, since it uses less digits than its factorization.

6294742619040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82613 (or 82596 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6294742619040 in words is "six trillion, two hundred ninety-four billion, seven hundred forty-two million, six hundred nineteen thousand, forty".